The hour and the minute hand are together once every 12/11 hour. The number of hours past noon is the first column on the below table; then the time in h:mm:ss.sss format and the position in degrees clockwise from the 12-o'clock position of the hour-, minute- and second-hands:

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In none of these instances does the angle of the second hand match the angle of the other two hands except at 12. Of course you could say that midnight is different from noon, but both are 12 o'clock.